document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=582408>Question 582408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve problems like 10+5i/10-5i? I thought I just needed to multiply the top by the bottom, but I keep coming up with the worng answer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372040 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=372040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I solve problems like 10+5i/10-5i?<BR>\n" );
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document.write( "You don't solve it, there's no variable to solve for.<BR>\n" );
document.write( "You can rationalize it, get the i out of the denominator.<BR>\n" );
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document.write( "10+5i/10-5i<BR>\n" );
document.write( "Reduce first<BR>\n" );
document.write( "= (2+i)/(2-i)<BR>\n" );
document.write( "Multiply NUM and DEN by the conjugate of the DEN, 2+i<BR>\n" );
document.write( "= (2+i)*(2+i)/(2-i)*(2+i)<BR>\n" );
document.write( "= (4 + 4i + i^2)/(4 - i^2)<BR>\n" );
document.write( "= (4 + 4i - 1)/(4 + 1)<BR>\n" );
document.write( "= (3 + 4i)/5<BR>\n" );
document.write( "or 0.6 + 0.8i<BR>\n" );
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